Skip to content

Course home

Sign up

Quadratics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183
Question 58

The equation x2+(2k−3)x+(k+3)=0x^2 + (2k - 3)x + (k + 3) = 0x2+(2k−3)x+(k+3)=0, where k k\,k is a constant has no real roots.

(a) Show that 4k2−16k−3<04k^2 - 16k - 3 < 04k2−16k−3<0.

(b) Hence find the set of possible values for kkk.

[4]
Markscheme

Quadratics Questions

  1. A Level
  2. /Maths
  3. /Quadratics

322 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank